Distributive Property and Equations and Collecting Like Terms

"D" matches with which property?

Choose the correct answer choice.

Answer choices:

1. Commutative Property

2. Associative Property

3. Identity Property

4. Inverse Property

5. Property of Zero

6. Distributive Property

7. Reflexive Property

8. Symmetric Property

9. Transitive Property

• 1

• 2

• 5

• 6

• Distributive property

• Associative Property

• Commutative Property

• Identity Property

Simplify the expression: 3x + 2x

• 5x

• x

• 6x

• 5

The ​ (a)   Property can be used to state that (x + 2)7 + 3x is equivalent to 7x + 14 + 3x.

• Distributive

• Commutative

• Associative

The

​ (a)   Property can be used to state that (x + 2)7 + 3x is equivalent to 7x + 14 + 3x.

• Distributive

• Commutative

• Associative

The

​ (a)   Property can be used to state that (x + 2)7 + 3x is equivalent to 7x + 14 + 3x.

• Distributive

• Commutative

• Associative

The Property can be used to state that (x + 2)7 + 3x is equivalent to 7x + 14 + 3x.

• Distributive

• Commutative

• Associative

Fill in the blank to create equivalent expressions using the properties given.

20(x+7) - 4x GIVEN

20x + __ - 4x Distributive Property

16x + __ Combine Like Terms

Enter the value on the keypad.

Mathematical Equivalence

ON

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6.7.D

Complete each step to show how to simplify 3(4n - 1) - 3 and write the result in factored form.

Step 1: Use the distributive property​ (a)  

Step 2: Combine Like Terms ​ (b)  

Step 3: Write in Factored Form ​ (c)  

• 12n - 3 - 3

• 12n - 6

• 6(2n - 1)

• 12n - 1 - 3

• 7n + 2 - 3

• 12n - 4

• 7n - 1

• 4(3n - 1)

16w - 7 - 5w - 11 + 4(w - 5)

• 15w - 38

• 15w + 24

• 17w - 2

• 17w + 2